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106446001355504 = 24611307242334439
BaseRepresentation
bin11000001100111111100100…
…000110010011101011110000
3111221220010201212002102202022
4120030333210012103223300
5102423002402321334004
61014220341250411012
731264320100500506
oct3014774406235360
9457803655072668
10106446001355504
1130a0a54a7a61a8
12bb31b46590a68
134751a79318355
141c4002a414676
15c48d8893c2be
hex60cfe4193af0

106446001355504 has 80 divisors (see below), whose sum is σ = 209873152258560. Its totient is φ = 52287331111680.

The previous prime is 106446001355503. The next prime is 106446001355521. The reversal of 106446001355504 is 405553100644601.

It is a super-2 number, since 2×1064460013555042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106446001355503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3090839117 + ... + 3090873555.

It is an arithmetic number, because the mean of its divisors is an integer number (2623414403232).

Almost surely, 2106446001355504 is an apocalyptic number.

It is an amenable number.

106446001355504 is a deficient number, since it is larger than the sum of its proper divisors (103427150903056).

106446001355504 is a wasteful number, since it uses less digits than its factorization.

106446001355504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38238 (or 38232 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 106446001355504 in words is "one hundred six trillion, four hundred forty-six billion, one million, three hundred fifty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 61 122 244 488 976 1307 2423 2614 4846 5228 9692 10456 19384 20912 34439 38768 68878 79727 137756 147803 159454 275512 295606 318908 551024 591212 637816 1182424 1275632 2100779 2364848 3166861 4201558 6333722 8403116 12667444 16806232 25334888 33612464 45011773 50669776 83445697 90023546 166891394 180047092 193178521 333782788 360094184 386357042 667565576 720188368 772714084 1335131152 1545428168 2745718153 3090856336 5090187517 5491436306 10180375034 10982872612 20360750068 21965745224 40721500136 43931490448 81443000272 109063525979 218127051958 436254103916 872508207832 1745016415664 6652875084719 13305750169438 26611500338876 53223000677752 106446001355504